نتایج جستجو برای: operator inequalities

تعداد نتایج: 138549  

2011
MOHAMMAD SAL MOSLEHIAN YUKI SEO

We present a Diaz–Metcalf type operator inequality as a reverse Cauchy–Schwarz inequality and then apply it to get some operator versions of Pólya–Szegö’s, Greub–Rheinboldt’s, Kantorovich’s, Shisha–Mond’s, Schweitzer’s, Cassels’ and Klamkin–McLenaghan’s inequalities via a unified approach. We also give some operator Grüss type inequalities and an operator Ozeki– Izumino–Mori–Seo type inequality...

2017
Mohammad Sal Moslehian Ritsuo Nakamoto Yuki Seo MOHAMMAD SAL MOSLEHIAN RITSUO NAKAMOTO YUKI SEO

We present a Diaz–Metcalf type operator inequality as a reverse Cauchy–Schwarz inequality and then apply it to get some operator versions of Pólya–Szegö’s, Greub–Rheinboldt’s, Kantorovich’s, Shisha–Mond’s, Schweitzer’s, Cassels’ and Klamkin–McLenaghan’s inequalities via a unified approach. We also give some operator Grüss type inequalities and an operator Ozeki– Izumino–Mori–Seo type inequality...

Journal: :Journal of Functional Analysis 2008

Journal: :Topological Algebra and its Applications 2013

2017
Jie Zhang Junliang Wu

The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young's and its reverse inequalities related to the Kittaneh-Manasrah inequality. We also present our new progress to the related research topics. New scalar versions of Young's inequalities are promoted, the operator version and the Hilbert-Schmidt form ...

Journal: :Indagationes Mathematicae 2015

Journal: :Journal of Mathematical Inequalities 2015

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